Cremona's table of elliptic curves

3120 = 2⁴ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	3120i	Isogeny class
Conductor	3120	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-50544000000 = -1 · 210 · 35 · 56 · 13	Discriminant
Eigenvalues	2+ 3- 5- -2 -4 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,720,8100]	[a1,a2,a3,a4,a6]
Generators	[0:90:1]	Generators of the group modulo torsion
j	40254822716/49359375	j-invariant
L	3.9182528312451	L(r)(E,1)/r!
Ω	0.75431799112229	Real period
R	0.17314770328339	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1560b1 12480bx1 9360i1 15600i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3120i1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-	-2	-4	+	0	-2	2	4	-4	-2	-6	4	-8	-2	-4	-2	-8	-8	-4	-8	-12	6	4

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Quadratic twists for elliptic curve 3120i1

-4	8	-3	5	13
1560b1	12480bx1	9360i1	15600i1	40560r1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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